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13181902688 = 2519971012213
BaseRepresentation
bin11000100011011001…
…11101111101100000
31021000200002001001002
430101230331331200
5203444031341223
610020005531132
7644442216113
oct142154757540
937020061032
1013181902688
115654927659
12267a713aa8
131320c90926
148d099a57a
155223d3e28
hex311b3df60

13181902688 has 96 divisors (see below), whose sum is σ = 27885241440. Its totient is φ = 6115737600.

The previous prime is 13181902687. The next prime is 13181902751. The reversal of 13181902688 is 88620918131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13181902681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5955470 + ... + 5957682.

It is an arithmetic number, because the mean of its divisors is an integer number (290471265).

Almost surely, 213181902688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13181902688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942620720).

13181902688 is an abundant number, since it is smaller than the sum of its proper divisors (14703338752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13181902688 is a wasteful number, since it uses less digits than its factorization.

13181902688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The spelling of 13181902688 in words is "thirteen billion, one hundred eighty-one million, nine hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 97 101 152 194 202 304 388 404 608 776 808 1552 1616 1843 1919 2213 3104 3232 3686 3838 4426 7372 7676 8852 9797 14744 15352 17704 19594 29488 30704 35408 39188 42047 58976 61408 70816 78376 84094 156752 168188 186143 214661 223513 313504 336376 372286 429322 447026 672752 744572 858644 894052 1345504 1489144 1717288 1788104 2978288 3434576 3576208 4078559 4246747 5956576 6869152 7152416 8157118 8493494 16314236 16986988 21680761 32628472 33973976 43361522 65256944 67947952 86723044 130513888 135895904 173446088 346892176 411934459 693784352 823868918 1647737836 3295475672 6590951344 13181902688